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Finding the Fourth Proportional to 346.02, 477.52 and 190.77

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Solution

The fourth proportional to 346.02, 477.52 and 190.77 is: 263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.02 : 477.52 = 190.77 : x
  2. Step 2: Convert to fraction form
    346.02/477.52 = 190.77/x
  3. Step 3: Cross multiply
    346.02x = 477.52 × 190.77
  4. Step 4: Simplify right side
    346.02x = 91,096.49
  5. Step 5: Solve for x
    x = 91,096.49/346.02
  6. Step 6: Final answer
    x = 263.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.